One of the first games I played over blockchain and still been playing is cryptogalaxy. It's a mobile only game.
It's a Strategy based games where you buy robots to mine on planets owned by yourself or others. If you are rich, you can buy a planet for yourself.
The game is in Zeepin blockchain and has its own GALA tokens.
Does it have a mobile app? I think I would to see them create games on android phones where an online or offline(but with an option to buy items through project's coin for characters upgrade or anything.) That would be great to see blockchain projects integrates with mobile games cause it has been on trends lately, specially with high anticipation release of League of Legends in Mobile.